Evaluate:$$\sqrt{7 + \sqrt{71 + \sqrt{93 + \sqrt{40 + \sqrt{81}}}}}$$​​

Correct option is C

Given:

​$$\sqrt{7 + \sqrt{71 + \sqrt{93 + \sqrt{40 + \sqrt{81}}}}}$$

Solution:

$$\sqrt{7 + \sqrt{71 + \sqrt{93 + \sqrt{40 + \sqrt{81}}}}} \\ \ \\=\sqrt{7 + \sqrt{71 + \sqrt{93 + \sqrt{49}}}}\\ \ \\ =\sqrt{7 + \sqrt{71 + \sqrt{93 + 7}}}\\ \ \\ =\sqrt{7 + \sqrt{71 + \sqrt{100}}}\\ \ \\ =\sqrt{7 + \sqrt{71 + 10}}\\ \ \\ =\sqrt{7 + \sqrt{81}}\\ \ \\ =\sqrt{16} = 4$$​